why is 0.57 considered a rational number?
because it can be written as 57/100, the ratio of two integers.
Any terminating decimal can be written in this way, as a fraction with the denominator a power of 10.
How is it rational tho I’m asking for me
To determine whether 0.57 is a rational number, we need to understand what a rational number is. A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.
In the case of 0.57, we can express it as the fraction 57/100. To obtain this fraction, we need to understand the decimal place value system. The number 0.57 can be divided into two parts: the whole number part (0) and the decimal part (0.57).
The decimal part 0.57 is equivalent to the fraction 57/100 because the decimal place value of the digits 5 and 7 are in the hundredth place and the thousandth place, respectively. Thus, we can express 0.57 as a fraction of two integers, where the denominator is not zero, making it a rational number.
To evaluate or convert the decimal 0.57 to a fraction like 57/100, you can follow these steps:
1. Identify the decimal place value. In this case, the decimal part is 0.57.
2. Determine the place value of the rightmost digit after the decimal point. Here, it's the hundredth place.
3. Write the decimal as a fraction with the digit(s) after the decimal point as the numerator and use the place value as the denominator.
4. Simplify the fraction if possible.
Hence, 0.57 is considered a rational number because it can be expressed as the fraction 57/100.